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7. Consider the model for a particle of mass m in a one-dimensional box of size L. The potential is zero inside the box, and infinite outside the box.

【題組】(b) Calculate the probability of finding the particle between L/6 to L/2 if n = 3. (5%)
【題組】 (a) Solve the Schrödinger equation by using A sin(kx) as a trial solution to determine k and total energy E in terms of quantum number n. (10%)
6. For the reaction C₂H₄ + H₂ → C₂H₆ in the presence of mercury vapor, a possible mechanism is:
Hg + H₂ → Hg + 2H (rate constant k₁)
H + C₂H₄ → C₂H₅ (rate constant k₂)
C₂H₅ + H₂ → C₂H₆ + H (rate constant k3)
H + H → H₂ (rate constant k4)
Determine the rate law for the production of C₂H₆ using the steady-state approximation. (12%)
50. Which of the following is the most appropriate participant/informant population for the purpose of this writing? (A) L2 users who have some linguistic knowledge (B) Beginning readers of an ideographic writing system (C) Chinese and English readers of different proficiency levels (D) L2 learners who are still struggling with how to read
49. What does the expression “a case in point” mean in the content of this study? (A) Xu’s account is an exemplary instance of a particular view. (B) Xu’s view is only one of the many cases under discussion. (C) Xu’s proposition is pointing to a new research direction. (D) Xu put across a proposition that requires further validation.
48. Which of the following is NOT true about Xu’s perspective? (A) Xu believes that all readers—irrespective of their language backgrounds—appear to decode a written language using some kind of similar strategies. (B) Xu’s contention is fully supported by abundant empirical evidence. (C) Xu’s stipulation proceeds from theoretical deduction rather than from observation or experience. (D) Xu attempts to make a case for this contention from the linguistic perspective.

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